Base | Representation |
---|---|
bin | 1000011010100110110… |
… | …1000010110100110010 |
3 | 111211012002210202210200 |
4 | 2012221231002310302 |
5 | 4332100224001242 |
6 | 150230350140030 |
7 | 13305565613532 |
oct | 2065155026462 |
9 | 454162722720 |
10 | 144581078322 |
11 | 5635328208a |
12 | 2402bab1616 |
13 | 108319b5925 |
14 | 6dd7c014c2 |
15 | 3b62ec804c |
hex | 21a9b42d32 |
144581078322 has 162 divisors, whose sum is σ = 340798490487. Its totient is φ = 44292403584.
The previous prime is 144581078311. The next prime is 144581078351. The reversal of 144581078322 is 223870185441.
144581078322 is a `hidden beast` number, since 1 + 44 + 581 + 0 + 7 + 8 + 3 + 22 = 666.
144581078322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 5 ways, for example, as 57503560401 + 87077517921 = 239799^2 + 295089^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=268869.
It is a super-3 number, since 3×1445810783223 (a number of 34 digits) contains 333 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1624506454 + ... + 1624506542.
Almost surely, 2144581078322 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144581078322
144581078322 is an abundant number, since it is smaller than the sum of its proper divisors (196217412165).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144581078322 is an equidigital number, since it uses as much as digits as its factorization.
144581078322 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 330 (or 166 counting only the distinct ones).
The product of its (nonzero) digits is 430080, while the sum is 45.
The spelling of 144581078322 in words is "one hundred forty-four billion, five hundred eighty-one million, seventy-eight thousand, three hundred twenty-two".
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